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Finding the Third Proportional to 50,442.38 and 81,276.19

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Solution

The third proportional to 50,442.38 and 81,276.19 is: 130,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,442.38 : 81,276.19 = 81,276.19 : x
  2. Step 2: Convert to fraction form
    50,442.38/81,276.19 = 81,276.19/x
  3. Step 3: Cross multiply
    50,442.38x = 81,276.19 × 81,276.19
  4. Step 4: Simplify right side
    50,442.38x = 6,605,818,654.54
  5. Step 5: Solve for x
    x = 6,605,818,654.54/50,442.38
  6. Step 6: Final answer
    x = 130,957.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.